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Finding the Fourth Proportional to 455,402.52, 683,089.20 and 206,084.52

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Solution

The fourth proportional to 455,402.52, 683,089.20 and 206,084.52 is: 309,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,402.52 : 683,089.20 = 206,084.52 : x
  2. Step 2: Convert to fraction form
    455,402.52/683,089.20 = 206,084.52/x
  3. Step 3: Cross multiply
    455,402.52x = 683,089.20 × 206,084.52
  4. Step 4: Simplify right side
    455,402.52x = 140,774,109,899.18
  5. Step 5: Solve for x
    x = 140,774,109,899.18/455,402.52
  6. Step 6: Final answer
    x = 309,120.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.